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  • 1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material which totally absorbs any gas molecule incident on it. At any given time, (a) the pressure on EFGH would be zero

1 mole of an ideal gas is contained in a cubical volume V, ABCDEFGH at 300 K (figure). One face of the cube (EFGH) is made up of a material that absorbs any gas molecule incident on it. At any given time,
(a) the pressure on EFGH would be zero
(b) the pressure on all the faces will be equal
(c) the pressure of EFGH would be double the pressure on ABCD
(d) the pressure on EFGH would be half that on ABCD


 

Answers (1)

The answer is the option (d)

The rate of transfer of momentum on the wall exerts pressure on the wall due to the force exerted by the molecules. Elastic collision takes place, and hence the molecules bounce back. The walls absorb the magnitude of momentum transferred to it by each molecule which is equal to 2mv. So, the net rate of change of momentum is mv, and the pressure of EFGH is halved as compared to ABCD.

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